The expression $\sqrt{3} \times \sqrt{30}$ can be simplified by multiplying the radicands (the numbers inside the square roots):

$\sqrt{3} \times \sqrt{30} = \sqrt{3 \times 30}$

Now, multiply 3 by 30:

$\sqrt{3 \times 30} = \sqrt{90}$

The simplified form of $\sqrt{90}$ can be broken down further if possible:

$\sqrt{90} = \sqrt{9 \times 10} = \sqrt{9} \times \sqrt{10} = 3\sqrt{10}$

So, $\sqrt{3} \times \sqrt{30} = 3\sqrt{10}$.

Would you like more details or have any questions?

Here are some related questions:

1. How do you simplify expressions involving square roots?
2. What is the difference between a perfect square and a non-perfect square?
3. How do you multiply and simplify square roots of non-perfect squares?
4. Can you explain the process of rationalizing the denominator?
5. How would you add or subtract square root expressions?

Tip: When multiplying square roots, always multiply the numbers inside the roots first and then simplify if possible.